4 papers
High multiplicity and global structure of coexistence states in a predator-prey model with saturation
Kousuke Kuto, Julián López-Gómez, Eduardo Muñoz-Hernández
This paper establishes that, under the appropriate range of values of the parameters involved in the formulation of the model, a diffusive predator-prey system with saturation can…
Bifurcation Theory for a Class of Periodic Superlinear Problems
Eduardo Muñoz-Hernández, Juan Carlos Sampedro, Andrea Tellini
We analyze, mainly using bifurcation methods, an elliptic superlinear problem in one-dimension with periodic boundary conditions. One of the main novelties is that we follow for th…
A robust multiplicity result in a generalized diffusive predator-prey model
Julián López-Gómez, Eduardo Muñoz-Hernández
This paper analyzes the generalized spatially heterogeneous diffusive predator-prey model introduced by the authors in \cite{LGMH20}, whose interaction terms depend on a saturation…
Rich dynamics in planar systems with heterogeneous nonnegative weights
Julián López-Gómez, Eduardo Muñoz-Hernández, Fabio Zanolin
This paper studies the global structure of the set of nodal solutions of a generalized Sturm--Liouville boundary value problem associated to the quasilinear equation $$ -(ϕ(u'))'=…